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Finding the Fourth Proportional to 1,365.82, 1,883.50 and 994.02

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Solution

The fourth proportional to 1,365.82, 1,883.50 and 994.02 is: 1,370.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.82 : 1,883.50 = 994.02 : x
  2. Step 2: Convert to fraction form
    1,365.82/1,883.50 = 994.02/x
  3. Step 3: Cross multiply
    1,365.82x = 1,883.50 × 994.02
  4. Step 4: Simplify right side
    1,365.82x = 1,872,236.67
  5. Step 5: Solve for x
    x = 1,872,236.67/1,365.82
  6. Step 6: Final answer
    x = 1,370.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.